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Finding the Fourth Proportional to 306.77, 460.55 and 176.90

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Solution

The fourth proportional to 306.77, 460.55 and 176.90 is: 265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.77 : 460.55 = 176.90 : x
  2. Step 2: Convert to fraction form
    306.77/460.55 = 176.90/x
  3. Step 3: Cross multiply
    306.77x = 460.55 × 176.90
  4. Step 4: Simplify right side
    306.77x = 81,469.43
  5. Step 5: Solve for x
    x = 81,469.43/306.77
  6. Step 6: Final answer
    x = 265.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.